What is expand (3p^2q^5r^3)(-3pqr^3+sqrt(5)pr^3) ?

The solution to expand (3p^2q^5r^3)(-3pqr^3+sqrt(5)pr^3) is -9p^3q^6r^6+3sqrt(5)p^3q^5r^6

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expand (3p^2q^5r^3)(-3pqr^3+sqrt(5)pr^3)

expand

(3 p^{2} q^{5} r^{3}) (- 3 pq r^{3} + 5 p r^{3})

- 9 p^{3} q^{6} r^{6} + 35 p^{3} q^{5} r^{6}

Solution steps

(3 p^{2} q^{5} r^{3}) (- 3 pq r^{3} + 5 p r^{3})

Apply the distributive law:

a (b + c) = ab + a c

(3 p^{2} q^{5} r^{3}) (- 3 pq r^{3} + 5 p r^{3}) = 3 p^{2} q^{5} r^{3} (- 3 pq r^{3}) + 3 p^{2} q^{5} r^{3} 5 p r^{3}

= 3 p^{2} q^{5} r^{3} (- 3 pq r^{3}) + 3 p^{2} q^{5} r^{3} 5 p r^{3}

Simplify

3 p^{2} q^{5} r^{3} (- 3 pq r^{3}) + 3 p^{2} q^{5} r^{3} 5 p r^{3} : - 9 p^{3} q^{6} r^{6} + 35 p^{3} q^{5} r^{6}

= - 9 p^{3} q^{6} r^{6} + 35 p^{3} q^{5} r^{6}

\frac{d}{d v} ((p) ((p + 7.4 v^{2}) (v - 4.2)))

\frac{7 e ^{x} ( - e ^{x} + 7 )}{( 7 + e ^{x} ) ^{3}}

A + Bl e f t (A + B)

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(- \frac{1}{2} - x) (- \frac{1}{8} - x)

What is expand (3p^2q^5r^3)(-3pqr^3+sqrt(5)pr^3) ?
The solution to expand (3p^2q^5r^3)(-3pqr^3+sqrt(5)pr^3) is -9p^3q^6r^6+3sqrt(5)p^3q^5r^6